4427934215040 has 512 divisors, whose sum is σ = 17930687385600. Its totient is φ = 1011642089472.

The previous prime is 4427934215039. The next prime is 4427934215051. The reversal of 4427934215040 is 405124397244.

4427934215040 is a `hidden beast` number, since 4 + 42 + 79 + 34 + 2 + 1 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318480729 + ... + 318494631.

It is an arithmetic number, because the mean of its divisors is an integer number (35020873800).

Almost surely, 2^{4427934215040} is an apocalyptic number.

4427934215040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427934215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965343692800).

4427934215040 is an abundant number, since it is smaller than the sum of its proper divisors (13502753170560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4427934215040 is a wasteful number, since it uses less digits than its factorization.

4427934215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16571 (or 16553 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4427934215040 in words is "four trillion, four hundred twenty-seven billion, nine hundred thirty-four million, two hundred fifteen thousand, forty".